Optimal trajectory to overflow in a queue fed by a large number of sources
type: Item
instance of: scholarly article
title: Optimal trajectory to overflow in a queue fed by a large number of sources
zbMATH Open document ID: 0963.90018
DOI: 10.1023/A:1019154129708
author: A. Ridder
author: M. R. H. Mandjes
published in: Queueing Systems
publication date: 2000-09-10T00:00:00Z
review text: The authors analyze the deviation behavior of a queue fed by a large number of traffic streams. In particular, they explicitly give the most likely trajectory (or ``optimal path'') to buffer overflow, by applying large deviations techniques. This is done for a broad class of sources, consisting of Markov fluid sources and periodic sources. Apart from a number of ramifications of this result, the authors present guidelines for the numerical evaluation of the optimal path.
reviewed by: János Aczél
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 90C40
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 1310871
zbMATH Keywords: queueing theory
zbMATH Keywords: large deviations asymptotics
zbMATH Keywords: buffer overflow
zbMATH Keywords: calculus of variations
zbMATH Keywords: ATM multiplexers
zbMATH Keywords: Markov fluid sources
zbMATH Keywords: periodic sources
MaRDI profile type: Publication
full work available at URL: a:1019154129708
OpenAlex ID: W1488043170
description: scientific article; zbMATH DE number 1310871